CN207850634U - A kind of experimental system of backlash nonlinearity rigidity identification - Google Patents
A kind of experimental system of backlash nonlinearity rigidity identification Download PDFInfo
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- CN207850634U CN207850634U CN201820225263.6U CN201820225263U CN207850634U CN 207850634 U CN207850634 U CN 207850634U CN 201820225263 U CN201820225263 U CN 201820225263U CN 207850634 U CN207850634 U CN 207850634U
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Abstract
The utility model discloses a kind of experimental systems of backlash nonlinearity rigidity identification, including interstitial structure, excitation system, force snesor, motion sensor and measurement and analysis system, the interstitial structure includes simply supported beam, fixing axle, rolling bearing units, caging bolt and support stage body, the simply supported beam is fastened by the fixing axle, fixing axle is fixed on the rolling bearing units, rolling bearing units are secured by bolts in the support stage body, the caging bolt is fixed on support stage body and is parallel in the screw thread of simply supported beam direction of vibration, gap size can be changed by rotary stopper bolt, experimental system shows linear characteristic when caging bolt clamps, experimental system shows nonlinear characteristic when rotary stopper bolt generates gap；The excitation system is hammered into shape for power, and the power hammers the pulse signal for exporting different characteristics into shape.The utility model experimental system can realize that the consecutive variations in gap, gap size can accurately be surveyed, and include nearly zero stiffness.
Description
Technical field
The utility model belongs to Nonlinear Systems Identification technical field, and in particular to a kind of identification of backlash nonlinearity rigidity
Experimental system.
Background technology
Due to overproof during processing, factors, mechanized equipment and the structure system such as rigging error and use abrasion
Inevitably there is gap in system.Backlash nonlinearity is that a kind of relatively conventional centralized configuration is non-linear, its presence
The stiffness characteristics of structure can be changed, the equipment under especially being run to height has an important influence on.For example, due to technique and making
With reasons such as abrasions, inevitably there is gap in aircraft handling plane system, this backlash nonlinearity may cause structure
Limit cycles oscillations, major hidden danger is caused to flight safety.To save space to the greatest extent in storage, Transportation Engineering, very
More guided missiles, which all use, folds rudder face structure, and gap present in fold locking mechanisms may result in rudder face less than linear
Limit cycles oscillations is shown in the case of flutter critical speed, the structural fatigue problem caused can not be ignored.
With the continuous expansion of backlash nonlinearity research field, domestic and foreign scholars have carried out backlash nonlinearity certain reality
Test research.It is hanged for example, Belgian scholar G.Kerschen et al. devises a kind of piecewise linearity for backlash nonlinearity research
Arm beam experimental provision, domestic scholars Li Bing et al. devise a kind of adjustable backlash nonlinearity development test platform, are that gap is non-thread
Journal of Sex Research provides good platform.However, existing testing stand still cannot accurately provide the non-linear rigid of real working condition lower structure
Characteristic is spent, does not have zero stiffness characteristic, gap cannot continuously adjust, and cannot be satisfied the reality of backlash nonlinearity rigidity discrimination method
Verification demand.To verify the feasibility and accuracy of backlash nonlinearity rigidity discrimination method, need to build a kind of containing nearly zero stiffness
And the experimental system of gap continuously adjustable, and the system is required to accurately provide the non-linear rigid of real working condition lower structure
Characteristic is spent, can be used for carrying out experimental verification to backlash nonlinearity rigidity discrimination method.
Utility model content
The purpose of this utility model is to overcome deficiencies in the prior art, provide a kind of backlash nonlinearity rigidity identification
Experimental system, build the linear/non-linear experimental system containing nearly zero stiffness and gap continuously adjustable；It is free of in experimental system
Linear oscillator experiment is carried out in the case of backlash characteristics, under the conditions of given excitation, the response signal of measuring system；It is testing
System carries out Non-Linear Vibration experiment in the case of containing backlash characteristics, under the conditions of given excitation, the response of measuring system
Signal；Non-Linear Vibration measured data of experiment is recognized with backlash nonlinearity rigidity discrimination method to be verified, with practical survey
Stiffness characteristics obtained by amount gained gap value and linear oscillator Experimental Identification are reference data, obtained by Non-Linear Vibration Experimental Identification
Stiffness characteristics are compared with reference data, verify the feasibility and accuracy of backlash nonlinearity rigidity discrimination method.
The purpose of this utility model is achieved through the following technical solutions：
A kind of experimental system of backlash nonlinearity rigidity identification, including interstitial structure, excitation system, force snesor, movement
Sensor and measurement and analysis system, the interstitial structure include simply supported beam, fixing axle, rolling bearing units, caging bolt and support
Stage body, the simply supported beam are fastened by the fixing axle, and fixing axle is fixed on the rolling bearing units, and rolling bearing units are solid by bolt
Due to the support stage body, the caging bolt is fixed on support stage body and is parallel in the screw thread of simply supported beam direction of vibration, can lead to
It crosses rotation caging bolt and changes gap size, experimental system shows linear characteristic, rotary stopper bolt when caging bolt clamps
Experimental system shows nonlinear characteristic when generating gap；The excitation system is hammered into shape for power, and the power hammer is for exporting different spies
The pulse signal of property.
Further, the motion sensor includes acceleration transducer, velocity sensor and displacement sensor.
Further, the measurement and analysis system are for presetting the sample frequency of force snesor and motion sensor and adopting
The sample time, and the pumping signal and structure dynamic response signal that collect to force snesor and motion sensor are deposited
Storage, processing and analysis.
Compared with prior art, advantageous effect caused by the technical solution of the utility model is：
1. the utility model experimental system can realize that the consecutive variations in gap, gap size can accurately be surveyed, and include close
Zero stiffness.
2. the utility model experimental system can be simulated by the length of change gap size and simply supported beam under different operating modes
The backlash characteristics of structure provide a variety of experiment conditions for the verification of backlash nonlinearity rigidity discrimination method.
3. linear oscillator experiment and Non-Linear Vibration experiment by way of being combined by the utility model experimental system, energy
The reference data for enough providing real working condition lower structure nonlinear stiffness characteristic, completes backlash nonlinearity rigidity discrimination method feasibility
With the experimental verification of accuracy.
Description of the drawings
Fig. 1 is the structural schematic diagram of experimental system in specific embodiment of the present invention；
Fig. 2 is the structural schematic diagram of gap structure among specific embodiment of the present invention；
Fig. 3 is the flow chart that the utility model intermediate gap non-linear rigidity recognizes methods of experiments；
Fig. 4 is the stiffness characteristics that Non-Linear Vibration Experimental Identification obtains in specific implementation mode；
Reference numeral：1- force snesors, 2- acceleration transducers, 3- speed and displacement sensor, 4- power hammer, 5- measure with
Analysis system, 6- computers, 7- simply supported beams, 8- fixing axles, 9- rolling bearing units, 10- caging bolts, 11- support stage body
Specific implementation mode
In order to better illustrate the purpose of this utility model and advantage, below by specific example and in conjunction with attached drawing, explanation
Specific embodiment of the present utility model.
In the utility model specific embodiment, the experimental system of backlash nonlinearity rigidity identification is as shown in Figure 1.Pilot system
Including interstitial structure, excitation system (i.e. power hammer 4), force snesor 1, acceleration transducer 2, speed and displacement sensor 3 and survey
Amount and analysis system 5, the structural schematic diagram of interstitial structure is as shown in Fig. 2, interstitial structure includes simply supported beam 7, fixing axle 8, ushers to seat
Bearing 9, caging bolt 10 and support stage body 11, simply supported beam 7 are led to using the steel beam of 600 × 50 × 5.6mm (length × width × height)
Fixing axle 8 is cut into a groove by the mode for crossing wire cutting, and simply supported beam 7 is fixed among groove, and fixing axle 8 is with interference fit
Mode is fixed in two rolling bearing units 9, then rolling bearing units 9 are secured by bolts in support stage body 11.Caging bolt 10 is solid
It is parallel in the screw thread of 7 direction of vibration of simply supported beam due to support stage body 11, gap size can be changed by rotary stopper bolt.Limit
Experimental system shows linear characteristic when position bolt 10 clamps, and system shows non-linear spy when rotary stopper bolt generates gap
Property.Support stage body is formed by welded steel, and boundary condition is provided for interstitial structure.
Excitation system is that power hammers 4 into shape, the pulse signal for exporting different characteristics, using PCBTMD086C03 type impact forces
Hammer.Force snesor 1, acceleration transducer 2 and speed and displacement sensor 3 are respectively used to measuring force, acceleration, speed and displacement
Signal, wherein force snesor use PCBTM288D01 type mechanical impedance sensors, acceleration transducer use PCBTM's
333B30 type acceleration transducers, speed and displacement sensor use PolytecTMSpeed in laser vibration measurer and displacement sensing
Device.
It measures with analysis system 5 for presetting adopting for force snesor 1, acceleration transducer 2 and speed and displacement sensor 3
Sample frequency and sampling time, and to excitation that force snesor 1, acceleration transducer 2 and speed and displacement sensor 3 collect
Signal and structure dynamic response signal are stored, handled and are analyzed.It measures and selects LMS with analysis system 5TMSCADAS systems
System and PolytecTMPSV-400-3D systems, and configure processing and storage that personal computer 6 is used for data.
The methods of experiments of backlash nonlinearity rigidity identification based on above-mentioned experimental system includes the following steps：
Step 1, linear oscillator experiment is carried out：
Step 1.1, rotary stopper bolt clamps simply supported beam, then system shows linear characteristic.
Step 1.2, force snesor and acceleration transducer are arranged in the axis line position of simply supported beam free end, by laser
Vialog light beam focuses on same position.Hammering method is selected to be tested, it is lasting to tap, so that simple beam structure is in Persistent Excitation
Under.
Step 1.3, start the SCADAS systems and PSV-400-3D systems measured with analysis system 5, start data acquisition,
The pumping signal that force sensor measuring is obtained, the acceleration signal that acceleration transducer measurement obtains, speed and displacement sensing
The speed and displacement signal that device measurement obtains are stored respectively.
Step 2, Non-Linear Vibration experiment is carried out：
Step 2.1, rotary stopper bolt makes simply supported beam generate gap close to one end of support stage body, while measuring limit
Bolt rotation angle, conversion obtain the reference data that gap size (δ=0.4mm) is recognized as follow-up backlash nonlinearity rigidity,
As shown in Figure 4.
Step 2.2, force snesor and acceleration transducer are arranged in the axis line position of simply supported beam free end, by laser
Vialog light beam focuses on same position.Hammering method is selected to be tested, it is lasting to tap, so that simple beam structure is in Persistent Excitation
Under.
Step 2.3, start the SCADAS systems and PSV-400-3D systems measured with analysis system 5, start data acquisition,
The pumping signal that force sensor measuring is obtained, the acceleration signal that acceleration transducer measurement obtains, speed and displacement sensing
The speed and displacement signal that device measurement obtains are stored respectively.
Step 3, the feasibility and accuracy of backlash nonlinearity rigidity discrimination method are verified：
By taking the restoring force Surface Method in nonlinear system time domain discrimination method as an example, as identification side to be verified
Method is verified using the methods of experiments in the utility model.
The first step mode of simply supported beam is mode of flexural vibration, if only first step mode is excited out, simply supported beam can
It is equivalent to single-mode system.Respectively to force snesor, acceleration transducer and speed and displacement sensing in step 1 and step 2
Excitation that device collects, acceleration, speed and displacement signal carry out the bandpass filtering treatment of 10-20Hz, eliminate trend term and
The influence of higher order term only retains the first step mode of simply supported beam.Step 1 measured data is recognized using least square method,
Obtain the reference data that stiffness characteristics (k=3603N/m) are recognized as follow-up backlash nonlinearity rigidity, as shown in Figure 4.Using extensive
Multiple power Surface Method recognizes step 2 measured data, and acquired results and reference data are compared, (dot as shown in Figure 4
Indicate that the identification result of backlash nonlinearity rigidity, solid line indicate reference data).As shown in Figure 4, restoring force Surface Method can be preferable
Ground recognizes the non-linear rigidity of the system containing interstitial structure.
The utility model, can be by continuously adjusting gap size or changing simply supported beam to contain interstitial structure as research object
Length simulates the backlash characteristics of different operating mode lower structures, and it is non-thread preferably to realize interstitial structure based on restoring force Surface Method
The identification of property rigidity.It can be seen that the methods of experiments of backlash nonlinearity rigidity identification provided by the utility model, technology
Concept feasible, practicable ways are concise, can be tested to the feasibility and accuracy of different type non-linear rigidity discrimination method
Verification.
The utility model is not limited to embodiments described above.Above the description of specific implementation mode is intended to describe
With illustrate the technical solution of the utility model, the above mentioned embodiment is only schematical, is not restrictive.
In the case of not departing from the utility model aims and scope of the claimed protection, those skilled in the art are in this practicality
The specific transformation of many forms can be also made under novel enlightenment, these are belonged within the scope of protection of the utility model.
Claims (3)
1. a kind of experimental system of backlash nonlinearity rigidity identification, which is characterized in that passed including interstitial structure, excitation system, power
Sensor, motion sensor and measurement and analysis system, the interstitial structure include simply supported beam, fixing axle, rolling bearing units, limit spiral shell
Bolt and support stage body, the simply supported beam are fastened by the fixing axle, and fixing axle is fixed on the rolling bearing units, and rolling bearing units are logical
It crosses bolt and is fixed on the support stage body, the caging bolt is fixed on the screw thread that support stage body is parallel to simply supported beam direction of vibration
It is interior, gap size can be changed by rotary stopper bolt, experimental system shows linear characteristic, rotation limit when caging bolt clamps
Experimental system shows nonlinear characteristic when position bolt generates gap；The excitation system is hammered into shape for power, and the power hammer is for exporting
The pulse signal of different characteristics.
2. a kind of experimental system of backlash nonlinearity rigidity identification according to claim 1, which is characterized in that the movement passes
Sensor includes acceleration transducer, velocity sensor and displacement sensor.
3. the experimental system of a kind of backlash nonlinearity rigidity identification according to claim 1, which is characterized in that the measurement with
Analysis system is used to preset sample frequency and the sampling time of force snesor and motion sensor, and is passed to force snesor and movement
The pumping signal and structure dynamic response signal that sensor collects are stored, handled and are analyzed.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108344547A (en) * | 2018-02-08 | 2018-07-31 | 天津大学 | A kind of experimental system and verification method of the identification of backlash nonlinearity rigidity |
| CN111207897A (en) * | 2020-02-23 | 2020-05-29 | 西安理工大学 | Local nonlinear factor positioning detection method based on nonlinear separation |
-
2018
- 2018-02-08 CN CN201820225263.6U patent/CN207850634U/en active Active
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108344547A (en) * | 2018-02-08 | 2018-07-31 | 天津大学 | A kind of experimental system and verification method of the identification of backlash nonlinearity rigidity |
| CN108344547B (en) * | 2018-02-08 | 2023-06-16 | 天津大学 | Experimental system and verification method for identifying nonlinear stiffness of gap |
| CN111207897A (en) * | 2020-02-23 | 2020-05-29 | 西安理工大学 | Local nonlinear factor positioning detection method based on nonlinear separation |
| CN111207897B (en) * | 2020-02-23 | 2021-12-17 | 西安理工大学 | Local nonlinear factor positioning detection method based on nonlinear separation |
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